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Title: Supersymmetric partially massless fields and non-unitary superconformal representations

Abstract

We find and classify the N=1 SUSY multiplets on AdS4 which contain partially massless fields. We do this by studying the non-unitary representations of the d = 3 superconformal algebra of the boundary. The simplest super-multiplet which contains a partially massless spin-2 particle also contains a massless photon, a massless spin-3/2 particle and a massive spin-3/2 particle. The gauge parameters form a Wess-Zumino super-multiplet which contains the gauge parameters of the photon, the partially massless graviton, and the massless spin-3/2 particle. We find the AdS4 action and SUSY transformations for this multiplet. More generally, we classify new types of shortening conditions that can arise for non-unitary representations of the d = 3 superconformal algebra.

Authors:
 [1];  [2];  [3]
  1. Sorbonne Univ., Paris (France)
  2. Case Western Reserve Univ., Cleveland, OH (United States)
  3. Columbia Univ., New York, NY (United States
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States); Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC); European Research Council (ERC); National Aeronautics and Space Administration (NASA)
OSTI Identifier:
1611718
Grant/Contract Number:  
SC0011941; SC0019143; 307934; NNX16AB27G
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; physics; higher spin symmetry; supergravity models; gauge symmetry

Citation Formats

Garcia-Saenz, Sebastian, Hinterbichler, Kurt, and Rosen, Rachel A. Supersymmetric partially massless fields and non-unitary superconformal representations. United States: N. p., 2018. Web. doi:10.1007/jhep11(2018)166.
Garcia-Saenz, Sebastian, Hinterbichler, Kurt, & Rosen, Rachel A. Supersymmetric partially massless fields and non-unitary superconformal representations. United States. https://doi.org/10.1007/jhep11(2018)166
Garcia-Saenz, Sebastian, Hinterbichler, Kurt, and Rosen, Rachel A. Tue . "Supersymmetric partially massless fields and non-unitary superconformal representations". United States. https://doi.org/10.1007/jhep11(2018)166. https://www.osti.gov/servlets/purl/1611718.
@article{osti_1611718,
title = {Supersymmetric partially massless fields and non-unitary superconformal representations},
author = {Garcia-Saenz, Sebastian and Hinterbichler, Kurt and Rosen, Rachel A.},
abstractNote = {We find and classify the N=1 SUSY multiplets on AdS4 which contain partially massless fields. We do this by studying the non-unitary representations of the d = 3 superconformal algebra of the boundary. The simplest super-multiplet which contains a partially massless spin-2 particle also contains a massless photon, a massless spin-3/2 particle and a massive spin-3/2 particle. The gauge parameters form a Wess-Zumino super-multiplet which contains the gauge parameters of the photon, the partially massless graviton, and the massless spin-3/2 particle. We find the AdS4 action and SUSY transformations for this multiplet. More generally, we classify new types of shortening conditions that can arise for non-unitary representations of the d = 3 superconformal algebra.},
doi = {10.1007/jhep11(2018)166},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2018,
place = {United States},
year = {Tue Nov 27 00:00:00 EST 2018},
month = {Tue Nov 27 00:00:00 EST 2018}
}

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Cited by: 11 works
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Works referenced in this record:

Multimetric supergravities
journal, September 2016

  • Del Monte, F.; Francia, D.; Grassi, P. A.
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)064

Manifest duality for partially massless higher spins
journal, September 2016

  • Hinterbichler, Kurt; Joyce, Austin
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)141

On superconformal characters and partition functions in three dimensions
journal, February 2010

  • Dolan, F. A.
  • Journal of Mathematical Physics, Vol. 51, Issue 2
  • DOI: 10.1063/1.3211091

Partial masslessness of higher spins in (A)dS
journal, July 2001


Geometric formulation for partially massless fields
journal, November 2006


On the (A)dS decoupling limits of massive gravity
journal, September 2018

  • de Rham, Claudia; Hinterbichler, Kurt; Johnson, Laura A.
  • Journal of High Energy Physics, Vol. 2018, Issue 9
  • DOI: 10.1007/JHEP09(2018)154

Determinant formula for parabolic Verma modules of Lie superalgebras
journal, February 2018


On partially massless bimetric gravity
journal, November 2013


Gauge invariance versus masslessness in de Sitter spaces
journal, May 1984


Massive gravity on de Sitter and unique candidate for partially massless gravity
journal, January 2013

  • Rham, Claudia de; Renaux-Petel, Sébastien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 01
  • DOI: 10.1088/1475-7516/2013/01/035

On partially massless theory in 3 dimensions
journal, March 2015


Non-linear partially massless symmetry in an SO (1,5) continuation of conformal gravity
journal, April 2017


Gauge and global symmetries of the candidate partially massless bimetric gravity
journal, December 2016


New 4D, N=1 superfield theory: model of free massive superspin- multiplet
journal, May 2002


Indices for superconformal field theories in 3, 5 and 6 dimensions
journal, February 2008

  • Bhattacharya, Jyotirmoy; Bhattacharyya, Sayantani; Minwalla, Shiraz
  • Journal of High Energy Physics, Vol. 2008, Issue 02
  • DOI: 10.1088/1126-6708/2008/02/064

A Remarkable Representation of the 3 + 2 de Sitter Group
journal, July 1963

  • Dirac, P. A. M.
  • Journal of Mathematical Physics, Vol. 4, Issue 7
  • DOI: 10.1063/1.1704016

On massive spin 2 interactions
journal, May 2007


Properties of conformal supergravity
journal, June 1978


Anomalous propagation of gauge fields in conformally flat spaces
journal, December 1983


Partially massless monopoles and charges
journal, November 2015


Recursion relations for conformal blocks
journal, September 2016

  • Penedones, João; Trevisani, Emilio; Yamazaki, Masahito
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)070

Gauge fields in (A)dS d and connections of its symmetry algebra
journal, September 2009


Mixed-symmetry fields in de Sitter space: a group theoretical glance
journal, May 2017

  • Basile, Thomas; Bekaert, Xavier; Boulanger, Nicolas
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)081

Forbidden mass range for spin-2 field theory in de Sitter spacetime
journal, January 1987


Massive gravity with N=1 local supersymmetry
journal, September 2013


Flato-Fronsdal theorem for higher-order singletons
journal, November 2014

  • Basile, Thomas; Bekaert, Xavier; Boulanger, Nicolas
  • Journal of High Energy Physics, Vol. 2014, Issue 11
  • DOI: 10.1007/JHEP11(2014)131

Bulk versus boundary dynamics in anti–de Sitter spacetime
journal, January 1999


Partially-massless higher-spin algebras and their finite-dimensional truncations
journal, January 2016

  • Joung, Euihun; Mkrtchyan, Karapet
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)003

Massive spin-2 in the Fradkin–Vasiliev formalism. I. Partially massless case
journal, September 2014


A nonlinear extension of the spin-2 partially massless symmetry
journal, May 2015

  • Garcia-Saenz, Sebastian; Rosen, Rachel A.
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)042

Supersymmetrizing massive gravity
journal, July 2013


No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
journal, August 2014


Non-linear duality invariant partially massless models?
journal, February 2016


Rainbow vacua of colored higher-spin (A)dS3 gravity
journal, May 2016

  • Gwak, Seungho; Joung, Euihun; Mkrtchyan, Karapet
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)150

How massless are massless fields in AdS
journal, October 2000


Massive supermultiplets with spin 3/2
journal, May 2007


Quantization of higher spin superfields in the anti-de Sitter superspace
journal, June 1995


Deconstructing supergravity: massive supermultiplets
journal, November 2018

  • Ondo, Nicholas A.; Tolley, Andrew J.
  • Journal of High Energy Physics, Vol. 2018, Issue 11
  • DOI: 10.1007/JHEP11(2018)082

On massive super(bi)gravity in the constructive approach
journal, July 2018


Partially massless graviton on beyond Einstein spacetimes
journal, June 2017


Higher-order singletons, partially massless fields, and their boundary values in the ambient approach
journal, November 2013


Manifest duality invariance for the partially massless graviton
journal, January 2015


Unfolding mixed-symmetry fields in AdS and the BMV conjecture: I. General formalism
journal, July 2009


Uniformizing higher-spin equations
journal, December 2014

  • Alkalaev, K. B.; Grigoriev, M. A.; Skvortsov, E. D.
  • Journal of Physics A: Mathematical and Theoretical, Vol. 48, Issue 1
  • DOI: 10.1088/1751-8113/48/1/015401

Gauge Invariances and Phases of Massive Higher Spins in (Anti-) de Sitter Space
journal, June 2001


Evidence for and obstructions to nonlinear partially massless gravity
journal, July 2013


Conformal supergravity
journal, March 1985


Partially massless higher-spin theory
journal, February 2017

  • Brust, Christopher; Hinterbichler, Kurt
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)086

Positive energy in anti-de Sitter backgrounds and gauged extended supergravity
journal, September 1982


Restrictions imposed by superconformal invariance on quantum field theories
journal, January 1998


Free □ k scalar conformal field theory
journal, February 2017

  • Brust, Christopher; Hinterbichler, Kurt
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)066

Non-unitary conformal field theory and logarithmic operators for disordered systems
journal, April 1997


All possible generators of supersymmetries of the S-matrix
journal, March 1975


All unitary ray representations of the conformal group SU(2,2) with positive energy
journal, February 1977

  • Mack, G.
  • Communications in Mathematical Physics, Vol. 55, Issue 1
  • DOI: 10.1007/BF01613145

No-go for partially massless spin-2 Yang-Mills
journal, February 2016

  • Garcia-Saenz, Sebastian; Hinterbichler, Kurt; Joyce, Austin
  • Journal of High Energy Physics, Vol. 2016, Issue 2
  • DOI: 10.1007/JHEP02(2016)043

Higher Derivative Gravity and Conformal Gravity from Bimetric and Partially Massless Bimetric Theory
journal, July 2015


Extended Weyl invariance in a bimetric model and partial masslessness
journal, December 2015


Conformal operators for partially massless states
journal, October 2001


Stability of massive cosmological gravitons
journal, May 2001


Ads/CFT correspondence and symmetry breaking
journal, September 1999


Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
journal, December 2011


Bimetric theory and partial masslessness with Lanczos–Lovelock terms in arbitrary dimensions
journal, September 2013


Nonlinear partially massless from massive gravity?
journal, May 2013


Consistent deformations of free massive field theories in the Stueckelberg formulation
journal, July 2018

  • Boulanger, Nicolas; Deffayet, Cédric; Garcia-Saenz, Sebastian
  • Journal of High Energy Physics, Vol. 2018, Issue 7
  • DOI: 10.1007/JHEP07(2018)021

Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations
journal, July 2001


ION EXCLUSION AND SALT FILTERING WITH POROUS ION-EXCHANGE MATERIALS1
journal, May 1963

  • Dresner, Lawrence; Kraus, Kurt A.
  • The Journal of Physical Chemistry, Vol. 67, Issue 5
  • DOI: 10.1021/j100799a011

Supergravity
book, May 2012


Works referencing / citing this record:

A Spin-2 Conjecture on the Swampland
text, January 2018


Constraints on a gravitational Higgs mechanism
journal, October 2019


A theory for multiple partially massless spin-2 fields
conference, August 2020

  • Traina, Lucas; Boulanger, Nicolas; Deffayet, Cédric
  • Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)
  • DOI: 10.22323/1.376.0142

AdS superprojectors
journal, April 2021

  • Buchbinder, E. I.; Hutchings, D.; Kuzenko, S. M.
  • Journal of High Energy Physics, Vol. 2021, Issue 4
  • DOI: 10.1007/jhep04(2021)074

Looking for partially-massless gravity
text, January 2019


A Spin-2 Conjecture on the Swampland
journal, December 2018

  • Klaewer, Daniel; Lüst, Dieter; Palti, Eran
  • Fortschritte der Physik, Vol. 67, Issue 1-2
  • DOI: 10.1002/prop.201800102

Theory for multiple partially massless spin-2 fields
journal, November 2019

  • Boulanger, Nicolas; Deffayet, Cédric; Garcia-Saenz, Sebastian
  • Physical Review D, Vol. 100, Issue 10
  • DOI: 10.1103/physrevd.100.101701